Eco-friendly orange peel extract as corrosion resistant for carbon steel's deterioration in petroleum formation water

The goal of the ongoing study is to determine how orange peel extract (OPE), an environmentally benign additive, affects the corrosion resistance of carbon steel in formation water (FW). The study utilized diverse techniques to investigate the effects of different peel extract concentrations, ranging from 0.5 to 2.5 percent (v/v), and concentrations of 100 to 500 ppm at room temperature (25 °C). Subsequently, the optimal concentration of 2.5 percent (v/v) was identified, and the temperature range was expanded to 25–55 °C for further examination. These techniques include dielectric spectroscopy (EIS), potentiodynamic polarisation, open circuit potential, and weight loss quantification. The inhibitory efficiency was assessed using the aforementioned techniques, and the results were further verified through the utilization of energy-dispersive radiation (EDS) and FTIR analyses. The outcomes of electrochemical testing demonstrated that orange peel extract (OPE) displayed significant effectiveness in preventing corrosion, with an inhibition rate of 90.13% when used at a concentration of 2.5% and a temperature of 25 °C. The findings suggested that orange peel extract (OPE) acts as a corrosion inhibitor with both inhibitory mechanisms. Its performance improves as the concentration of the inhibitor increases, conforming to the Langmuir adsorption isotherm model, and it adsorbed to the steel surface through physical adsorption. The findings revealed that orange peel extract (OPE) effectively served as a corrosion inhibitor for carbon steel by adsorbing its active components onto the surface of the steel. This adsorption process was primarily physical and followed the Langmuir isotherm.


Materials
In the experimental setup, a carbon steel (CS) working electrode was utilized, which was placed inside a glass tube that was filled with Araldite epoxy.The exposed surface area of the electrode measured 0.867 cm 2 .The composition of the carbon steel, expressed as weight percentages, consisted of the following elements: Mo 0.0050, Al 0.0053, Si 0.15, P 0.0151, Ni 0.0161, Cr 0.0335, Cu 0.0398, C 0.431, with Fe comprising the remaining portion.To conduct weight loss measurements, a rectangular sample measuring 7.5 × 2 × 0.1 cm was cut from a larger sheet of mild carbon steel.An opening was made at one edge of the sample to suspend it in the corrosive medium, and it was secured in place using a plastic string.Prior to the experiment, the carbon steel samples underwent manual abrasion using emery paper, followed by washing with 100% ethanol, rinsing with doubledistilled water, and drying.
The corrosive medium used in the experiment was an oiled-water solution obtained from Qarun Petroleum Company, specifically from the NED-1 water source well in Egypt (referred to as QPC).Tables 1 and 2 present the chemical composition and physical characteristics, respectively, of the formation water sample obtained from this source.

Orange peel extract (OPE) preparation
The fruit underwent a cleaning process, followed by removal of the husk and drying.Subsequently, the dried husk was crushed using a mixer.In a vessel, a mixture of 50 mL ethanol and 50 mL distilled water, which had been freshly boiled and left for 30 min, was prepared.A mass of 5 g of the crushed husk was added to this mixture and intermittently mixed.After the extraction, the sample was filtered, and the resulting extracts were stored at 4 °C29 .The concentration of the stock solution was determined by drying a sample and calculating the remaining weight relative to the volume of the sample taken.Various extract concentrations were prepared using dilution 30 .
A schematic diagram regarding the extraction process is obvious in Fig. 1.The use of plant parts in the study complies with international, national, and/or institutional guidelines.All data generated or analyzed during this study are included in this published article.

Methodology
Weight loss measurements At the beginning of the experiment, carbon steel samples were weighed and immersed in 100 mL of formation water without any additives (referred to as the "blank" solution), as well as in the presence of various concentrations of orange peel extract (OPE) inhibitors (ranging from 0.5 to 2.5 percent (v/v) or 100 to 500 ppm of peel extract) at a temperature of 25 °C.After the specified immersion time had passed and the temperature was adjusted accordingly, the carbon steel samples were removed from the test solution and dried in a moisture-free desiccator.The samples were then reweighed, and the difference in weight between the initial and final measurements represented the weight loss.
The corrosion rate is calculated according to Eq. ( 1) 31 : in which, C R is the corrosion rate in mpy, W is the weight difference before and after immersion in the test solution in g, t is the exposure time "h", A is the C-steel's surface area "cm 2 " whereas d is the C-steel's density "g/ cm 3 ".Equation ( 2) is utilized to compute the surface coverage's degree (θ) 32 .
in which, W i and W 0 are the weight losses of C-steel in the inhibited and uninhibited solutions, respectively.Equation (3) computes the inhibition efficiency IE percent 33 .
Electrochemical studies  Electrochemical measurements were conducted using an electrochemical glass cell that had compartments to accommodate three electrodes.The carbon steel electrode was utilized as the working electrode (WE), while a saturated calomel electrode (SCE) and a platinum electrode (Pt) were employed as the reference electrode and auxiliary electrode, respectively.The electrode was allowed to corrode freely before each experiment, and hence its open circuit potential "OCP" was recorded for a period of up to 150 min.A permanent OCP state, which matches the working electrode's E corr , was then attained.The potentiodynamic polarization curves were automatically acquired by altering the electrode's potential from − 1000.00 to 0.00 mV at 2 mVs −1 screening rate.For each inhibitor's concentration, (0.5-2.5% (v/v) at a temperature range (25-55 °C), this technique was reiterated.On a freshly abraded electrode with a freshly made electrolyte, each experiment was carried out.To carry out the electrochemical measurements, a potentiostat (Tacussel & Radiometer PGZ 301) was used.The Voltamaster-4 software program handled this technique.
Parameters such as the potential of corrosion "E corr ", corrosion current density "I corr ", as well as Tafel's slopes of the cathode (βc) along with that of the anode (βa) were extracted from the polarization's curves.The inhibition's efficacy "IE percent" is computed through Eq. ( 4).

In which, I
• corr together with I corr = the corrosion's current densities in case of the inhibitor's absence as well as the inhibitor's presence, respectively, and the value of 1 − I corr I • corr is equivalent to the surface coverage ( θ) 34 .

B. Dielectric Spectroscopy "EIS" Evaluation
Within the frequency range of 100-10 mHz, keeping 10 frequency steps per decade, impedance spectra were gained at corrosion's potential after 150 min submerging time, with and without orange peel extract (OPE) inhibitor.AC signal was applied to disturb the current system employing peak-to-peak 10 mV amplitude.Zsimpwin software was utilized to interpret the data whereas the graph of Nyquist represents the EIS diagrams.

Surface morphology's studies
C-steel samples were submerged for 28 days in the inhibited solution containing a specific concentration of "2.5% (v/v)" orange peel extract (OPE), as well as in the blank formation water solution, to test the surface morphological properties.Upon careful washing with distilled water 3 times by decantation, the corrosion products were then scratched with a steel scraper from carbon steel and ultimately dried up in the air.

SEM/ EDX analysis
For this study, a scanning electron microscope (SEM) model called Quanta 250 FEG (Field Emission Gun) was utilized, along with the energy dispersive X-ray diffraction (EDX) component.The SEM operated at an accelerating voltage of 30 kV, with a magnification range of 14X to 106,200X and a resolution of 1 nm.The equipment used was manufactured by FEI Company in the Netherlands.

FTIR analysis
FTIR analysis was implemented for orange peel extract as well as the corrosion products to ensure the inhibitor's adsorption on the C-steel's surface.A Nicolet iS-10 FTIR (Thermos Fisher Scientific, USA) analysis with a resolution equal to 1 cm -1 was undertaken with a scanning range of four thousand to four hundred cm −1 .

Quantifications of weight loss
Inhibitor's concentration effect The dissolution rate of iron decreases progressively with increasing concentrations of orange peel extract (OPE), as shown in Table 3 www.nature.com/scientificreports/coverage (θ) and the percentage of inhibition efficacy.In particular, the inhibition efficiency reaches its highest level at approximately 92.84% when the concentration is increased from 0.5 to 2.5%.Based on this substantial enhancement in corrosion inhibition, the optimal concentration of orange peel extract for further analysis and application was chosen as 2.5%.The improved performance of inhibition is attributed to the greater adsorption of orange peel extract (OPE) constituents on the surface of carbon steel (CS) at higher concentrations, resulting in the blocking of reaction sites 13 .This protective film formed by the inhibitor molecules effectively shields the active sites on the CS surface, leading to stronger and more adhesive protection 15 .Therefore, the concentration of orange peel extract plays a vital role in determining the degree of inhibition.
The adsorbed constituents of orange peel extract (OPE) on the CS surface inevitably lead to the blockage of reaction sites, ensuring the protection of the C-steel surface from aggressive ions present in the formation water.

Immersion time effect
Figure 2 presents the weight loss variations of carbon steel (C-steel) over time when immersed in formation water alone and with different concentrations of orange peel extract (OPE) at a temperature of 25 °C.The graph clearly shows that weight loss increases as the immersion period prolongs.However, the presence of orange peel extract (OPE) leads to lower weight loss compared to the solution containing only formation water (FW).This suggests that the absence of an insoluble protective surface film formed by orange peel extract (OPE) during corrosion is responsible for the linear relationship between weight loss and time.As time passes, the stability of the protective layer formed by orange peel extract (OPE) gradually weakens, resulting in its dissolution in the corrosive solution.Therefore, the presence of an inhibitor is crucial as it initially adsorbs onto the metal surface and prevents the corrosion cycle from occurring 31 .

Chemical kinetics of corrosion inhibition
To analyze the system's kinetics, the concentration unit of corroding carbon steel (CS) is converted from mg/ cm 2 to g/L and then to molar concentrations.Assuming 'a' (mol/L) represents the initial concentration of carbon steel and 'x' (mol/L) represents the final concentration of CS after a certain time 't' , the corrodent concentration of CS at time 't' would be (a-x) mol/L.By examining the rate law equation (Eq.5), the order of chemical reactions can be determined.The results depicted in Fig. 3 confirm first-order kinetics, as indicated by the linear relationships with regression coefficient (R 2 ) values close to unity when plotting log(ax) or log(CS) on the Y-axis against time on the X-axis.
where K 1 stands for the first order rate constant, and t is the time in hours.Additionally, Eq. ( 6) relates the rate constant to the half-life of a first-order reaction 35 .
The rate constants and half-life values obtained from the slopes of the kinetic plots are presented in Table 4.
The findings indicate that the addition of orange peel extract (OPE) extends the half-life of carbon steel (CS) compared to the blank solution.However, it is observed that the rate constant (K) of CS in the presence of orange peel extract (OPE) is lower than the rate constant of the blank solution.This demonstrates that the inhibitors, in this case, orange peel extract, effectively increase the longevity of carbon steel (CS) in the formation water (FW). (5)

Adsorption isotherm
To further examine the adsorbing effect of the extract on the C-steel's surface, Langmuir's adsorption isotherm is utilized by using the subsequent equation 36 : which, θ = the surface coverage, C = the extract's concentration in (v/v %), whereas K ads = the adsorption's equilibrium constant.K ads can be obtained from the reciprocal of the isotherm line's intercept.
C θ is plotted against C as lucid in Fig. 4 and then the data of Langmuir's parameters were gathered in Table 5.
A linear relationship with an R 2 value close to one indicates a good fit of the data to the Langmuir equation, confirming that the orange peel extract (OPE) exhibits adsorption activity on the surface of C-steel.This suggests that the active components of the extract occupy sites on the steel's surface, consistent with previous studies 22 .The Langmuir isotherm assumes that the adsorption surface is covered by a monolayer and that there is no interaction between the adsorbed molecules.As a result, the adsorption sites become saturated, and further adsorption is not possible 29 .Using Eq. ( 8), the standard free energy of adsorption, G • ads , can be calculated 37 and is compiled in Table 5.
Here, R represents the gas constant, C w is the water concentration in the solution (55.5 mol/L), and T is the absolute temperature 22 .According to thermodynamic relationships, the adsorption reaction occurs when the free energy is negative.It is worth noting that physical adsorption releases less heat compared to chemical adsorption.

Open circuit potential assessment (OCP)
Figure 5 shows the OCP changes of C-steel in formation water over time.Two important observations are evident.Firstly, both free and inhibited solutions experience a gradual shift towards more negative electrode potentials during immersion, indicating the dissolution of the initial oxide film.Secondly, the presence of the orange peel extract (OPE) inhibitor causes a more positive OCP compared to free formation water.Increasing the inhibitor concentration further shifts the steady-state potential in a positive direction 38 .This demonstrates the effective inhibition of OPE through the adsorption of its constituents on the C-steel surface, forming a protective layer against corrosion 39 .

Potentiodynamic polarization measurements
Inhibitor's concentration Figure 6 in the study presents polarization curves depicting the changes in anodic and cathodic electrochemical polarization of carbon steel under different conditions: without orange peel extract (OPE) in formation water and with OPE at various concentrations (25 °C).Parameters such as corrosion potential (E corr ), corrosion current density (I corr ), and Tafel slopes (β c and β a ) were extracted from the curves and listed in Table 6.Surface coverage (θ) and inhibition efficacy (IE percent) were also calculated and included in the table.
Table 6 reveals that higher OPE concentrations lead to increased inhibition efficacy percentages and decreased corrosion current density.This indicates that higher concentrations of OPE result in more inhibitor accumulation on the steel surface through adsorption, effectively inhibiting corrosion 40 .The most effective inhibition is observed at a concentration of 2.5 percent OPE.
The corrosion potential (E corr ) remains relatively constant with varying inhibitor concentrations, suggesting that OPE acts as a mixed-type inhibitor, affecting both metal dissolution and hydrogen production.If the difference in E corr between inhibited and uninhibited conditions is less than 85 mV, the inhibitor is considered to be of mixed type 41 .
The decrease in both anodic and cathodic current densities in the presence of OPE indicates its inhibitory action.This decrease becomes more pronounced at higher OPE concentrations.The adsorption of OPE components on the steel surface protects it from the corrosive medium, reducing both hydrogen evolution and iron metal deterioration 42 .In the presence of orange peel extract (OPE), the kinetic of C-steel oxidation is minified slightly, as noticed conclusively in Fig. 6A through the anodic branch.In the harsh environment of formation water (FW), the anti-corrosion properties of OPE on C-steel are significant.The reduction in the corrosion rate of C-steel can be attributed to the suppression of both cathodic hydrogen reduction and anodic oxidation.
Additionally, the anodic Tafel slope (βa) remains unchanged with OPE, indicating that OPE's adsorption does not significantly affect the metal dissolution reaction.However, the cathodic Tafel slope (βc) increases significantly with OPE, indicating greater inhibition of the cathodic process (hydrogen evolution) 42 .
Overall, the addition of OPE results in a significant reduction in corrosion rate, particularly in the cathodic branch.This indicates that both anodic dissolution and cathodic hydrogen evolution are slowed down by OPE, with a stronger suppression of the cathodic reaction 43 .
OPE acts as a mixed inhibitor, primarily exerting a cathodic inhibitory effect in the formation water.The inhibitory activity is influenced by the presence of anions in the water, which facilitate the adsorption of inhibitor species on cathodic sites, reducing the rate of hydrogen gas evolution 11 .

Temperature effect
Figure 6B and C in this study illustrate the impact of temperature (ranging from 25 to 55 °C) on carbon steel (C-steel) corrosion in formation water (FW), both in the absence and presence of 2.5 percent orange peel extract (OPE).The corresponding polarization parameters were determined from the polarization curves obtained at various temperatures and compiled in Table 7.
The results demonstrate the highly effective inhibition of orange peel extract (OPE) in mitigating C-steel corrosion in the harsh environment of formation water (FW) across the temperature range studied.
The data reveals a notable increase in corrosion current densities (I corr ) as the temperature rises, and this effect is further enhanced in the absence of inhibitors.The corrosion rate of C-steel increases with temperature in both uninhibited and inhibited formation water (FW).Conversely, the inhibition efficiency (IE) of C-steel decreases with increasing temperature.This can be attributed to the potential desorption of orange peel extract (OPE) from the surface of C-steel at higher temperatures 44 .
As temperature increases, inhibitor molecules diffuse from the C-steel surface into the solution, potentially exposing more C-steel surface area to the corrosive medium.This leads to a decrease in the inhibitory efficiency (IE) percentage.In the presence of inhibitors, there is a balance between adsorption and desorption processes 45 .
The decrease in adsorption intensity at higher temperatures can be explained by a reduction in the adsorption capacity, assuming a physical adsorption mechanism.The increased temperature also enhances C-steel dissolution, which hampers the adsorption of orange peel extract (OPE) on the metal surface 44 .
The decline in the protective properties of orange peel extract (OPE) with temperature increase has two implications.Firstly, the adsorption-desorption balance shifts towards desorption, reducing the intensity of adsorption.Secondly, higher temperatures cause increased corrosion, resulting in a rougher surface for the steel.These findings suggest that orange peel extract (OPE) exhibits physical adsorption characteristics on the C-steel surface 46 .

Kinetic and thermodynamic corrosion parameters using potentiodynamic polarization method
Figure 7 demonstrates the relationship between the logarithms of corrosion rate "C R " plotted versus the reciprocal of temperature "1/T", for C-steel in the aggressive formation water (FW) alone as well as in the inhibited solution containing a certain concentration from orange peel extract (OPE) (2.5%).The activation energies E * a were then extracted from the slope of the curve using the Arrhenius equation and subsequently listed in Table 8.
In which, C R = corrosion rate; A = pre-exponential factor; E a * = activation energy; R = gas constant, and T = absolute temperature.
The presence of orange peel extract (OPE) resulted in a higher activation energy value compared to its absence, indicating that the extract had a lower inhibition efficiency at higher temperatures.The significant difference in activation energy values between the presence of 2.5% orange peel extract (OPE) and the blank formation water (FW) indicated that the extracts effectively delayed the corrosion of carbon steel (CS) in the formation water (FW) solution 47 .
The increase in activation energy ( E * a ) in the presence of the extracts suggested that the addition of orange peel extract (OPE) to the formation water (FW) solution significantly raised the energy barrier for corrosion.This also indicated a decrease in protection efficiency as the temperature increased.www.nature.com/scientificreports/observed for both inhibited and uninhibited solutions (Table 8).Furthermore, in the presence of orange peel extract (OPE), the value of E * a was close to 25 kJ/mol, indicating that the corrosion process was primarily controlled by surface reaction 48 .These findings indicated that the inhibitor molecules of orange peel extract (OPE) were mainly bound to the surface of CS through a physico-sorption mechanism.
The enthalpy change ( �H * ) along with the entropy ( �S * ) of activation for the corrosion process are computed through Eq. (10).
The positive enthalpic activation energy (ΔH*) values suggest that the dissolution of the metal is endothermic.In the case of CS dissolution in formation water (FW) with orange peel extract (OPE), the ΔH* value is significantly higher (23.03 kJ/mol) compared to the blank formation water (10.52 kJ/mol).This indicates a slower rate of CS surface dissolution in the presence of orange peel extract (OPE) 49 .Based on Table 8, the enthalpy value increases when orange peel extract (OPE) is present, indicating improved effectiveness in protecting against dissolution compared to the uninhibited solution 50 .
The negative ∆S* indicates a decrease in entropy at the transition state, suggesting an associative mechanism where reactants form a complex transition state 51    formation water solutions, the inhibited solution exhibited a higher ∆S* value (-135.40J mol −1 K −1 ) compared to the uninhibited solution (− 163.93 J mol −1 K −1 ).This slight increase in disorder after the reactants transformed into the activated complex upon the addition of orange peel extract (OPE).The adsorption of OPE inhibitor molecules from the formation water can be seen as a quasi-substitution process between OPE in the aqueous phase and water molecules on the electrode surface, resulting in an increase in solvent entropy 52 .However, in both the presence and absence of the inhibitor, the activation entropy remained high and negative, indicating that the rate-determining step involved an association rather than a dissociation step, and there was a decrease in disorder from reactants to the activated complex 53 .The free activation energy, ΔG* is calculated at each temperature using the following thermodynamic relation: The free activation energy (ΔG*) was determined at each temperature using Eq. ( 11) and presented in Table 9.These values are positive and slightly higher compared to the blank values.The rise in temperature enhanced the spontaneity of the corrosion process, indicating that the activated complexes became more soluble at higher temperatures.However, the increase in ΔG* with temperature indicated that the activated compound was less stable, and its formation became slightly less likely as the temperature increased.Consequently, a greater number of corrosion species entered an activated state with a less stable structure, potentially contributing to the escalation of corrosion rate with rising temperature 52 .
Adsorption isotherm and thermodynamic adsorption parameters using potentiodynamic polarization method Thermodynamic adsorption parameters and isotherm models are crucial for understanding the mechanism of the orange peel extract (OPE) adsorption process on the submerged electrode 9 .Graphically, the degrees of surface coverage (θ) for various orange peel extract (OPE) concentrations were examined by fitting to various isotherms.Figure 9 shows that extracts follow the Langmuir adsorption isotherm, through drawing C/θ against C since 1 − I corr I • corr is equivalent to the surface coverage ( θ) 54 .This suggests that the cathodic and anodic regions are both covered by orange peel extract (OPE) inhibitor.According to the Langmuir isotherm, the inhibitor molecules form a single layer without interacting with nearby molecules 29 .

Characterization of peel extracts
The FTIR spectrum of the dried orange peel, depicted in Fig. 10, reveals valuable insights.In addition to lignin, characteristic bands corresponding to cellulose are observed.The high-energy region showcases a dominant band resulting from the combination of numerous OH groups found in lignin and carbohydrates.Notably, the intense band at 1059 cm −1 signifies the presence of C-O-H or C-O-R connections, specifically alcohols or esters.Furthermore, the distinct band at 2925 cm −1 indicates C-H stretching vibration and bending vibration around 1440 cm −1 , originating from aliphatic chains (-CH 2 -and -CH 3 ) that form the fundamental structure of this lignocellulosic material.At 1730 cm −1 , the signal can be attributed to the presence of carbonyl groups, such as esters.Lastly, the band around 1630 cm −1 is likely associated with (C=C) aliphatic and/or aromatic compounds 60 .These findings shed light on the molecular composition of the orange peel.

SEM and EDX Examination
To investigate the effects of orange peel extract (OPE) on the corrosion process, SEM micrographs of carbon steel exposed to formation water (FW) were examined in Fig. 11.The EDX spectra were utilized to identify the elements present on the carbon steel surface in the presence or absence of OPE (Fig. 12).Energy-dispersive X-ray spectroscopy (EDXS) in combination with scanning electron microscopy (SEM) was employed to determine the chemical composition (%) of the metal surface specimens with and without OPE 61,62 .Table 9 presents the atomic contents (mass%) obtained from the EDX spectrum.In Fig. 11a, the image of abraded carbon steel revealed transparent and smooth emery paper scratches.Correspondingly, Fig. 12a and Table 9 showed a prominent iron (Fe) peak representing 100% Fe content in its  Figure 11b depicted severely corroded carbon steel exposed to formation water for a month, showing roughness and voids on the surface.The accompanying EDX spectrum displayed peaks corresponding to elements such as sodium (Na), silicon (Si), calcium (Ca), magnesium (Mg), chlorine (Cl), sulfur (S), and oxygen (O).These elements were attributed to constituents of the saline formation water (e.g., Ca 2+ , Mg 2+ , Clˉ, and SO 4 2− ) as well as iron oxides, indicating the accumulation of corrosion products on the metal surface.Figure 12b and Table 9 demonstrated a significant decrease in the Fe% content, reaching approximately 54.81% of its original composition, indicating severe damage to the surface.In contrast, Fig. 11c exhibited less damage in the micrograph when 2.5% orange peel extract (OPE) was present.Additionally, a decrease in the amount of corrosion products was observed in the corresponding EDX spectrum, indicating the formation of a protective film.Figure 12c displayed the appearance of an oxygen (O) signal, indicating the coverage of the inhibitor molecule.
The incorporation of orange peel extract in the system resulted in an increase in the Fe element content to 70.8%, as observed in the EDX patterns (Fig. 12c and Table 9).This increase can be attributed to the formation of a protective layer that effectively shields the surface from corrosion.
The surface examinations conducted confirm the anti-corrosion properties of orange peel extract (OPE) for carbon steel in formation water (FW).

Inhibition mechanism
In the absence of orange peel extract (OPE), the corrosion of carbon steel (CS) in formation water (FW) is primarily driven by metal dissolution.Anodic sites on the CS surface lead to the release of iron (Fe 2+ ) ions, which dissolve in the solution and react with O 2 and/or (HCO 3 ) −1 to produce iron oxide and/or iron carbonate corrosion products.The presence of chloride ions weakens the passivation layer, enabling continuous metal dissolution.Simultaneously, electrons generated by metal dissolution migrate to cathodic sites on the metal surface, where they reduce H 2 O to form OH ions 46 .
The corrosion-inhibiting properties of orange peel extract (OPE) can be attributed to its composition, which includes organic compounds like Neohesperidin, Hesperidin, Naringin, Narirutin, and Ascorbic Acid (Fig. 13).These organic molecules possess polar functional groups with oxygen (O) heteroatoms, as well as conjugated double bonds or aromatic rings that serve as primary sites for adsorption.Consequently, the adsorption of OPE on the metal surface leads to the formation of a protective layer, effectively limiting the corrosion of carbon steel (CS) in formation water (FW) (Fig. 14) 64 .

Conclusions
Orange peel extract (OPE) acts as a mixed-type corrosion inhibitor for carbon steel (CS) in formation water (FW) solutions.Increasing OPE concentrations and lowering temperatures enhance the inhibition efficiency by facilitating the adsorption of OPE components onto the steel surface.The adsorption behavior of OPE compounds conforms to the Langmuir adsorption isotherm.
The use of OPE as a corrosion inhibitor for CS in FW solutions holds promising prospects.The observed improvement in inhibition efficiency with higher OPE concentrations and lower temperatures suggests the potential for optimizing OPE-based inhibitor formulations.Further investigation can focus on identifying the specific compounds in OPE that contribute to its inhibitory effect, enabling the development of targeted corrosion inhibitors.Additionally, studying the adsorption mechanism following the Langmuir adsorption isotherm can

Figure 6 .
Figure 6.Potentiodynamic polarization plots of C-steel in formation water (FW) (A) in absence and presence of various concentrations of orange peel extract (OPE) at 25 °C, (B) at temperature range (25-55 °C) and (C) in presence of 2.5% orange peel extract (OPE) at temperature range (25-55 °C).

1 Figure 7 .
Figure 7. Arrhenius plots for CS in absence and presence of 2.5% orange peel extract (OPE) using potentiodynamic polarization method.

Figure 8 .
Figure 8. Transition state plots for CS in absence and presence of 2.5% orange peel extract (OPE) using potentiodynamic polarization method.
untreated state.Notably, the peaks for carbon (C) and oxygen (O) were not observed, indicating that the spectrum was influenced by Fe63 .Consequently, the researchers relied on the intensity of the Fe peak to estimate the thickness of the protective layer in the absence and presence of the inhibitor.

Figure 11 .
Figure 11.SEM micrograph for C steel coupons: (A) Before treatment with formation water, (B) in formation water and (C) in 2.5% of orange peel extract (OPE).

Figure 12 .
Figure 12.EDX for C steel coupons: (A) Before treatment with formation water, (B) in Formation water and (C) in 2.5% of orange peel extract (OPE).

Table 1 .
The characteristic constituents of formation water solution (in ppm).

Table 2 .
The physical properties of the utilized formation water.

Table 3 .
. Higher concentrations of the inhibitor lead to significant improvements in both the surface Corrosion rates (Mpy) and inhibition efficiencies (IE %) of extracts in formation water (FW) at 25 °C.

Table 4 .
Chemical kinetic plots for the corrosion of CS in absence and presence of different concentrations of orange peel extract (OPE).Langmuir adsorption parameters of C-steel in formation water in presence of different concentrations from orange peel extract (OPE) using weight loss method at 25 °C.Throughout this research, the negative G • ads value indicates the spontaneous adsorption of the extract onto the surface of the C-steel, highlighting the strong interactions between the metal's surface and the inhibitor molecules.The G • ads value, which is lower than − 20 kJ/mol, demonstrates the physisorption mechanism of orange peel extract (OPE) on C-steel in the corrosive formation water at a temperature of 25 °C30 .

Table 5 .
Potentiodynamic parameters for CS in formation water (FW) in absence and presence of various concentrations of orange peel extract (OPE) at 25 °C.

Table 6 .
Potentiodynamic parameters for C-steel in formation water (FW) in absence and presence of 2.5% peel extract at temperature range (25-55 °C).

Table 7 .
Activation thermodynamic parameters of CS in absence and presence of orange peel extract (OPE) using potentiodynamic polarization method.

Table 8 .
Langmuir adsorption isotherm parameters for the extract adsorbed on CS surface in formation water (FW) solution using potentiodynamic method at 25 °C.

Table 9 .
Percentage of atomic contents of elements (Mass %) obtained from EDX spectra.
OPEFigure 9.Langmuir adsorption isotherm for orange peel extract (OPE) extract adsorbed on CS surface in formation water (FW) solution using potentiodynamic method.